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In order to understand the orbital and spin magnetization of a confined electronic system we analyze these ground state properties in the transition from a quantum dot to a quantum ring of finite thickness. The Coulomb interaction between…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gabriel Vasile , Vidar Gudmundsson , Andrei Manolescu

The conductance of graphene subject to a strong, tilted magnetic field exhibits a dramatic change from insulating to conducting behavior with tilt-angle, regarded as evidence for the transition from a canted antiferromagnetic (CAF) to a…

Strongly Correlated Electrons · Physics 2016-03-30 Pavel Tikhonov , Efrat Shimshoni , H. A. Fertig , Ganpathy Murthy

There is growing experimental and theoretical evidence that very clean two dimensional electron systems form unidirectional charge density waves (UCDW) or ``striped'' states at low temperatures and at Landau level filling fractions of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Anna Lopatnikova , Steven H. Simon , Bertrand I. Halperin , Xiao-Gang Wen

The discovery of the Quantum Spin Hall state, and topological insulators in general, has sparked strong experimental efforts. Transport studies of the Quantum Spin Hall state confirmed the presence of edge states, showed ballistic edge…

The helical edge states of time-reversal invariant two-dimensional topological insulators are protected against backscattering in idealized models. In more realistic scenarios with a shallow confining potential at the sample boundary,…

Mesoscale and Nanoscale Physics · Physics 2022-11-09 Niels John , Adrian Del Maestro , Bernd Rosenow

We study the $S_z$-conserving quantum spin Hall insulator in the presence of Hubbard $U$ from a field theory point view. The main findings are the following. (1) For arbitrarily small U the edges possess power-law correlated…

Strongly Correlated Electrons · Physics 2013-05-29 Dung-Hai Lee

We argue that a new type of quantum Hall state requiring non-perturbative Landau level mixing arises at low electron density. In these states, up and down spin electrons pair to form spinless bosons that condense into a bosonic quantum Hall…

Condensed Matter · Physics 2009-10-28 A. M. Tikofsky , S. A. Kivelson

The quantum spin Hall (QSH) effect is known to be unstable to perturbations violating time-reversal symmetry. We show that creating a narrow ferromagnetic (FM) region near the edge of a QSH sample can push one of the counterpropagating edge…

Mesoscale and Nanoscale Physics · Physics 2013-07-16 Huichao Li , L. Sheng , R. Shen , L. B. Shao , Baigeng Wang , D. N. Sheng , D. Y. Xing

Motivated by recent experiments, we investigate the quantum spin Hall state in 2D topological insulator/ferromagnetic metal planar junctions by means of a tight-binding model and linear response theory. We demonstrate that whether the edge…

Mesoscale and Nanoscale Physics · Physics 2020-06-30 Antonio Zegarra , J. Carlos Egues , Wei Chen

Over the past few years one of us (Murthy) in collaboration with R. Shankar has developed an extended Hamiltonian formalism capable of describing the ground state and low energy excitations in the fractional quantum Hall regime. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Hoang K. Nguyen , Yogesh N. Joglekar , Ganpathy Murthy

We present a theoretical study of the excitations on the edge of a two-dimensional electron system in a perpendicular magnetic field in terms of a contour dynamics formalism. In particular, we focus on edge excitations in the quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 C. Wexler , Alan T. Dorsey

In this Letter, it is shown that interactions can facilitate the emergence of topological edge states of quantum-degenerate bosonic systems in the presence of a harmonic potential. This effect is demonstrated with the concrete model of a…

Quantum Gases · Physics 2017-12-05 Bogdan Galilo , Derek K. K. Lee , Ryan Barnett

We consider the edge of a two-dimensional electron system that is in the quantum-Hall-effect regime at filling factor 1-1/m with m being an odd integer, where microscopic theory explaining the occurrence of the quantum Hall effect in the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 U. Zuelicke , A. H. MacDonald , M. D. Johnson

Some popular mechanisms for restricting the diffusion of waves include introducing disorder (to provoke Anderson localization) and engineering topologically non-trivial phases (to allow for topological edge states to form). However, other…

Mesoscale and Nanoscale Physics · Physics 2024-07-09 C. A. Downing , L. Martín-Moreno , O. I. R. Fox

We characterize the role of the spin-orbit coupling between electrons and the confining potential of the edge in nonequilibrium 2D homogeneous electronic gas. We derive a simple analytical result for the magnitude of the current induced…

Mesoscale and Nanoscale Physics · Physics 2011-03-18 Peter Bokes , Frantisek Horvath

The double fractional quantum Hall system of spin 1/2 electrons is numerically studied to predict that there exists a novel spin-unpolarized quantum liquid specific to the multi-species system, which exemplifies a link between the spin…

Condensed Matter · Physics 2009-10-22 T. Nakajima , H. Aoki

We consider the effect of Coulomb interactions in the propagation of electrons, prepared in arbitrary spin states, on chiral edge channels in the integer quantum Hall regime. Electrons are injected and detected at the same energy at…

Mesoscale and Nanoscale Physics · Physics 2012-08-08 Davide Venturelli , Denis Feinberg

We study the effects of electron-electron interactions in a circular few-electron vertical quantum dot in such a strong magnetic field that the filling factor $\nu\le 1$. We measure excitation spectra and find ground state transitions…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Y. Nishi , P. A. Maksym , D. G. Austing , T. Hatano , L. P. Kouwenhoven , H. Aoki , S. Tarucha

The gapless edge modes of the Quantum Spin Hall insulator form a helical liquid in which the direction of motion along the edge is determined by the spin orientation of the electrons. In order to probe the Luttinger liquid physics of these…

Mesoscale and Nanoscale Physics · Physics 2014-04-14 Romain Vasseur , Joel E. Moore

The information content of one-electron bulk and edge states in semiconductor quantum wells is calculated in the inverted regime, where edge states, topologically protected, are responsible for the conduction in Spin Quantum Hall effect…

Mesoscale and Nanoscale Physics · Physics 2022-07-27 Natalia Giovenale , Omar Osenda
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